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Finding the Fourth Proportional to 2,857.32, 3,943.10 and 1,615.32

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Solution

The fourth proportional to 2,857.32, 3,943.10 and 1,615.32 is: 2,229.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,857.32 : 3,943.10 = 1,615.32 : x
  2. Step 2: Convert to fraction form
    2,857.32/3,943.10 = 1,615.32/x
  3. Step 3: Cross multiply
    2,857.32x = 3,943.10 × 1,615.32
  4. Step 4: Simplify right side
    2,857.32x = 6,369,368.29
  5. Step 5: Solve for x
    x = 6,369,368.29/2,857.32
  6. Step 6: Final answer
    x = 2,229.14

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.